Kinetic energy functional for Fermi vapors in spherical harmonic
  confinement

Goodwin G. C.; Ioannou P.; Mareels I.; Marsden J. E.; Narendra K. S.

research

Kinetic energy functional for Fermi vapors in spherical harmonic confinement

Authors: Goodwin G. C.
Ioannou P.
Mareels I.
Marsden J. E.
Narendra K. S.
Publication date: 1 January 2001
Publisher
Doi

Abstract

Two equations are constructed which reflect, for fermions moving independently in a spherical harmonic potential, a differential virial theorem and a relation between the turning points of kinetic energy and particle densities. These equations are used to derive a differential equation for the particle density and a non-local kinetic energy functional.Comment: 8 pages, 2 figure